{"id":12817,"date":"2017-10-29T03:07:22","date_gmt":"2017-10-29T03:07:22","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12817"},"modified":"2022-01-08T17:58:50","modified_gmt":"2022-01-08T17:58:50","slug":"aproxima-por-defeito-as-unidades","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12817","title":{"rendered":"Aproxima por defeito \u00e0s unidades"},"content":{"rendered":"<p><ul id='GTTabs_ul_12817' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_12817' class='GTTabs_curr'><a  id=\"12817_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_12817' ><a  id=\"12817_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_12817'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Sabe-se que\u00a0\\(2 &lt; a &lt; 3\\) e que \\(2 &lt; b &lt; 8\\).<br \/>\nAproxima por defeito \u00e0s unidades \\(\\sqrt[3]{{a + 3b}}\\).<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12817' onClick='GTTabs_show(1,12817)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_12817'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Sabe-se que\u00a0\\(2 &lt; a &lt; 3\\) e que \\(2 &lt; b &lt; 8\\).<br \/>\nAproxima por defeito \u00e0s unidades \\(\\sqrt[3]{{a + 3b}}\\).<\/p>\n<\/blockquote>\n<p>\u00adOra,\u00a0\\(2 &lt; b &lt; 8 \\Leftrightarrow 6 &lt; 3b &lt; 24\\).<\/p>\n<p>Logo,\u00a0\\[\\begin{array}{*{20}{c}}{2 &lt; a &lt; 3}\\\\{6 &lt; 3b &lt; 24}\\\\\\hline{8 &lt; a + 3b &lt; 27}\\end{array}\\]<\/p>\n<p>Assim,\u00a0\\(8 &lt; a + 3b &lt; 27 \\Leftrightarrow \\sqrt[3]{8} &lt; \\sqrt[3]{{a + 3b}} &lt; \\sqrt[3]{{27}} \\Leftrightarrow 2 &lt; \\sqrt[3]{{a + 3b}} &lt; 3\\).<\/p>\n<p>Logo, o valor pedido \u00e9 2.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12817' onClick='GTTabs_show(0,12817)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Sabe-se que\u00a0\\(2 &lt; a &lt; 3\\) e que \\(2 &lt; b &lt; 8\\). Aproxima por defeito \u00e0s unidades \\(\\sqrt[3]{{a + 3b}}\\). Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":12821,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,258],"tags":[443,442],"series":[],"class_list":["post-12817","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-enquadramento","tag-valor-aproximado"],"views":2711,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/Enquadramento3.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12817","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=12817"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12817\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/12821"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12817"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}